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赵培标. 常数量曲率黎曼度量之共形形变(英文)[J]. 信阳师范学院学报(自然科学版), 2003, 16(2): 146-149.
引用本文: 赵培标. 常数量曲率黎曼度量之共形形变(英文)[J]. 信阳师范学院学报(自然科学版), 2003, 16(2): 146-149.
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ZHAO Peibiao. Conformal deformation of a Riemannian metric to constant scalar curvature[J]. Journal of Xinyang Normal University (Natural Science Edition), 2003, 16(2): 146-149.
Citation: ZHAO Peibiao. Conformal deformation of a Riemannian metric to constant scalar curvature[J]. Journal of Xinyang Normal University (Natural Science Edition), 2003, 16(2): 146-149.
shu

常数量曲率黎曼度量之共形形变(英文)

Conformal deformation of a Riemannian metric to constant scalar curvature

    摘要
  • 摘要: 本文考查光滑黎曼流形 ( Mn ,g) ( n≥ 2 )的共形形变 .证明了如下结论 :存在共形于度量 g的黎曼度量 g使得 g的曲率 R等于一个事先给定的函数 K .

     

    Abstract: This paper deals with the conformal deformation of the smooth Riemannian manifold(Mn,g)(n≥2).It is proved,in some case,there exists a Riemannian metric g which is conformal to g such that the scalar curvature R of g is equal to K(K is a given function).

     

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